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Finding the Third Proportional to 6,737,724 and 10,366,822

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Solution

The third proportional to 6,737,724 and 10,366,822 is: 15,950,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,724 : 10,366,822 = 10,366,822 : x
  2. Step 2: Convert to fraction form
    6,737,724/10,366,822 = 10,366,822/x
  3. Step 3: Cross multiply
    6,737,724x = 10,366,822 × 10,366,822
  4. Step 4: Simplify right side
    6,737,724x = 107,470,998,379,684
  5. Step 5: Solve for x
    x = 107,470,998,379,684/6,737,724
  6. Step 6: Final answer
    x = 15,950,638.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.